Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13381 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916620147884032 |
|---|---|
| author | Rieger, Janosch Wawryk, Kyria |
| author_facet | Rieger, Janosch Wawryk, Kyria |
| contents | The reachable sets of nonlinear control systems can in general only be numerically approximated, and are often very expensive to calculate. In this paper, we propose an algorithm that tracks only the boundaries of the reachable sets and that chooses the temporal and spatial discretizations in a non-uniform way to reduce the computational complexity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13381 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Efficient space-time discretizations for tracking the boundaries of reachable sets Rieger, Janosch Wawryk, Kyria Numerical Analysis 93B03, 65L50 The reachable sets of nonlinear control systems can in general only be numerically approximated, and are often very expensive to calculate. In this paper, we propose an algorithm that tracks only the boundaries of the reachable sets and that chooses the temporal and spatial discretizations in a non-uniform way to reduce the computational complexity. |
| title | Efficient space-time discretizations for tracking the boundaries of reachable sets |
| topic | Numerical Analysis 93B03, 65L50 |
| url | https://arxiv.org/abs/2502.13381 |